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Finding the Fourth Proportional to 60,769.96, 83,862.56 and 33,546.06

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Solution

The fourth proportional to 60,769.96, 83,862.56 and 33,546.06 is: 46,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,769.96 : 83,862.56 = 33,546.06 : x
  2. Step 2: Convert to fraction form
    60,769.96/83,862.56 = 33,546.06/x
  3. Step 3: Cross multiply
    60,769.96x = 83,862.56 × 33,546.06
  4. Step 4: Simplify right side
    60,769.96x = 2,813,258,469.51
  5. Step 5: Solve for x
    x = 2,813,258,469.51/60,769.96
  6. Step 6: Final answer
    x = 46,293.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.